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Trigonometric Substitution for $$\sqrt{x^2-a^2}$$
Put:
$$x=a\sec\theta$$
then:
$$\sqrt{x^2-a^2}=a\tan\theta$$
and:
$$dx=a\sec\theta\tan\theta\,d\theta$$
Usage
- Used to eliminate radicals of the form $$\sqrt{x^2-a^2}$$.
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Trigonometric Substitution for $$\sqrt{x^2-a^2}$$
Put:
$$x=a\sec\theta$$
then:
$$\sqrt{x^2-a^2}=a\tan\theta$$
and:
$$dx=a\sec\theta\tan\theta\,d\theta$$
Usage
- Used to eliminate radicals of the form $$\sqrt{x^2-a^2}$$.
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